9227
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9228
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9226
- Möbius Function
- -1
- Radical
- 9227
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 109
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1144
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 74.at n=29A020413
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 95.at n=18A031593
- Primes which set a new record for length of Pratt certificate.at n=10A037231
- Numerators of continued fraction convergents to sqrt(695).at n=5A042336
- Primes with first digit 9.at n=41A045715
- Discriminants of imaginary quadratic fields with class number 25 (negated).at n=15A056987
- Primes with either no internal digits or all internal digits are 2.at n=50A069677
- a(1) = 3; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=45A074339
- Primes in A058633.at n=35A080822
- Class 6- primes (for definition see A005109).at n=19A081425
- a(1) = 2, a(n+1) = smallest prime of the form a(n) + k*prime(n+1), k >1.at n=29A085041
- Choose a(n) so that 2*3*5*13*...*a(n) - 1 is prime; a(n) is prime; and a(n) > a(n-1).at n=40A087898
- a(1) = 3; for n > 1 a(n) is the least prime of form a(n-1) + k*prime(n-1) with k > 0.at n=30A095184
- Beginning with 2, least prime not occurring earlier such that the concatenation of first n terms has the least prime factor prime(n).at n=40A100759
- Beginning with 2, smallest unincluded prime number such that successive absolute differences are distinct triangular numbers.at n=51A110362
- Numbers k such that digit sum of 3^k is a power of 3.at n=29A118872
- Numbers k such that (8^k - 3^k)/5 is prime.at n=7A128025
- Primes p such that 2p-3 and 2p+3 are both prime (A092110), with last decimal of p being 7.at n=44A136192
- Floor of sum of the first n^2 square roots.at n=24A138357
- Primes of the form k^2 + 11.at n=7A138362